Abstract
In metals processing there are a number of situations where an electric current passes through a fluid interface (slag or electrolyte above and molten metal below, for instance). An experiment using mercury and salt water has shown that instabilities and waves may develop on such interfaces. Neutral curves deduced from linear analysis, which may have one, two, or three minima, show that different modes may become unstable. A first attempt to study the non-linear behaviour of these instabilities, based on multiple scales technique, is also presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
SZEKELY J., “On Heat and Fluid Flow Phenomena, in Electric Melting and Smelting Operations”, in “Metallurgical Appl. of M.H.D”. eds Moffatt. H.K. and Proctor M.R.E, (1982), The Metals Soc. of London, pp.260–271.
MOREAU R., “Applications iulétallurgignes de la Magnétohydrodynamique”, in “Theoretical and Applied Mechanics”, Proc. of the pith. IUTAM Congress, Toronto, 17–23 August 1980, eds: Rinirott F.Y.J. and Tabarrok 13.. North-Holland Pub. (1980), pp. 107–118.
SNEYD A.D., “Stability of Fluid Layers Carrying a Normal Electric Current”,.J.Fluid Mech. (1985), vol 156, pp. 223–236.
MOREAU R. and ZIEGLER D., “Stability of Aluminum Cells. A New Approach”,Light Metals (1986), pp. 359–364.
MOREAU R. and EVANS J.W., “An Analysis of the Hydrodynamics of Aluminum Re-duction Cells”,J.Electrochem.Soc, Electrochemical Science a.nd Technology (1984), vol. 131, n° 10, pp. 2251–2259.
NAYFEH A.H. and SARIC W.S., “Non-Linear Waves in a Kelvin-Helmholtz Flow” J.Fluid Mech. (1972), vol 55, pp. 311–328.
BENNEY D.J. and MASLOWE S.A, “The Evolution in Space and Time of Non- Linear Waves in Parallel Shear Flows”, Studies in Appl. iIlath. (1975), vol. 54, pp. 181–205.
MASLOWE S.A.,”Shear Flow Instability and Transition”, in “Hydrodynamic Instability and the Transition to Turbulence”, eds. Swinneg ILL. and Gollub J.P. (1982), Springer, pp. 181–228.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Plenum Press, New York
About this chapter
Cite this chapter
Moreau, R.J., Pigny, S.L., Maslowe, S.A. (1990). Interfacial Instabilities and Waves in the Presence of a Transverse Electric Current. In: Coullet, P., Huerre, P. (eds) New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena. NATO ASI Series, vol 237. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-7479-4_17
Download citation
DOI: https://doi.org/10.1007/978-1-4684-7479-4_17
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-7481-7
Online ISBN: 978-1-4684-7479-4
eBook Packages: Springer Book Archive